What is the angle?

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What is the angle?

what is the angle between $0$ $0$ and $2 π$ $2pi$ in radians that is coterminal with the angle $\frac{14}{5} π$ $14/5pi$ in radians

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Answer 1 · 2018-05-24T21:09:58

The coterminal angle is $4 \frac{π}{5}$ $4pi/5$

Explanation:

Please observe that $14 \frac{π}{5} > 2 π$ $14pi/5 > 2pi$ , therefore, we subtract $2 π$ $2pi$ from $14 \frac{π}{5}$ $14pi/5$ :

$14 \frac{π}{5} - 2 π = 14 \frac{π}{5} - 10 \frac{π}{5} = 4 \frac{π}{5}$ $14pi/5- 2pi= 14pi/5- 10pi/5 = 4pi/5$

Answer 2 · 2018-05-24T23:16:35

$\frac{6 π}{5}$ $(6pi)/5$

Explanation:

Call t the angle (or arc).
$t = \frac{14 π}{5} = \frac{4 π}{5} + \frac{10 π}{5} = \frac{4 π}{5} + 2 π$ $t = (14pi)/5 = (4pi)/5 + (10pi)/5 = (4pi)/5 + 2pi$
$t = \frac{4 π}{5}$ $t = (4pi)/5$
The co-terminal angle (or arc) to $t = \frac{4 π}{5}$ $t = (4pi)/5$ is:
$u = 2 π - \frac{4 π}{5} = \frac{10 π}{5} - \frac{4 π}{5} = \frac{6 π}{5}$ $u = 2pi - (4pi)/5 = (10pi)/5 - (4pi)/5 = (6pi)/5$

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What is the angle?

what is the angle between $0$ $0$ and $2 π$ $2pi$ in radians that is coterminal with the angle $\frac{14}{5} π$ $14/5pi$ in radians

2 Answers

Explanation:

Explanation:

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what is the angle between $0$ $0$ and $2 π$ $2pi$ in radians that is coterminal with the angle $\frac{14}{5} π$ $14/5pi$ in radians